Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 580349, 8 pages
doi:10.1155/2010/580349
Research Article

On the Convergence of Truncated Processes of Multiserver Retrial Queues

M. Jose Domenech-Benlloch,1 Jose Manuel Gimenez-Guzman,2 Vicent Pla,1 Jorge Martinez-Bauset,1 and Vicente Casares-Giner1

1Departamento de Comunicaciones, Universidad Politécnica de Valencia, 46022 Valencia, Spain
2Departamento de Automática, Universidad de Alcalá, Alcalá de Henares, 28871 Madrid, Spain

Received 1 March 2010; Accepted 28 July 2010

Academic Editor: J. Jiang

Copyright © 2010 M. Jose Domenech-Benlloch et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Retrial queues can only be solved in a closed form in very few and simple cases, so researchers must resort to approximate models. However, most of the papers that propose approximate models assume the convergence of the proposed models to their exact counterparts, without providing a rigorous mathematical proof. In this paper we demonstrate the convergence of finite truncated models with two reattempt orbits.